Question

Calculari: a) 1/2-(1/4-1/8)= b)1/3-|-1/6+1/9| c)|2,(6)+1,5|-8/7 d)(5/6-7/2)-[(10/3-11/6-2/5)+(7/3+3/2-13/5)] e)7/6-[3/2(13/12-25/48+1/8)+(11/6-29/16)]
f)29/36-[(37/24-0,(4))-7/24

Answer 1

a) 1/2-(1/4-1/8)=4/8 - (2/8 -1/8)=4/8-1/8=3/8

 b)1/3-|-1/6+1/9| = 1/3- | -1/6 +1/9| =3/18 -| -3/18+2/18|=  3/18 - 1/18=2/18=1/9

 c)|2,(6)+1,5|-8/7 =|24/9+15/10| -8/7=|8/3+15/10| -8/7= |80/30+45/30|+15/10=
=125/30+45/30= 170/30=17/3

d)(5/6-7/2)-[(10/3-11/6-2/5)+(7/3+3/2-13/5)]= (5/6-21/6)-[(100/30-55/30-12/30)
+(70/30+45/30-78/30)=16/6-'(33/30+37/30)=16/6-70/30=8/3-7/3=1/3

e)7/6-[3/2(13/12-25/48+1/8)+(11/6-29/16)]=7/6-[3/2(52/48-25/48+6/48)+
(88/48-87/48)]=7/6-[3/2(33/48+1/48)]=7/6-[3/2*34/48]= 7/6- 17/16=
=56/48-51/48=4/48=1/12

f)29/36-[(37/24-0,(4))-7/24 ]=29/36- [(37/24-4/9)-7/24]=29/36-[(111/72-32/72)-
-7/24]=29/36-(79/72-7/24)=29/36-(79/72-21/72)=59/72 -58/72=1/72